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Finding the Fourth Proportional to 177,223.86, 265,850.19 and 52,564.50

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Solution

The fourth proportional to 177,223.86, 265,850.19 and 52,564.50 is: 78,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,223.86 : 265,850.19 = 52,564.50 : x
  2. Step 2: Convert to fraction form
    177,223.86/265,850.19 = 52,564.50/x
  3. Step 3: Cross multiply
    177,223.86x = 265,850.19 × 52,564.50
  4. Step 4: Simplify right side
    177,223.86x = 13,974,282,312.26
  5. Step 5: Solve for x
    x = 13,974,282,312.26/177,223.86
  6. Step 6: Final answer
    x = 78,851.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.